Search a number
-
+
344231470000 = 24541117184081
BaseRepresentation
bin1010000001001011100…
…10110110001110110000
31012220112002020111211201
411000211302312032300
521114441224020000
6422045431020544
733604243134355
oct5004562661660
91186462214751
10344231470000
11122a95766390
125686a50a754
13265cb757c72
14129376b862c
158e4a8de96a
hex5025cb63b0

344231470000 has 200 divisors, whose sum is σ = 962670809232. Its totient is φ = 117811200000.

The previous prime is 344231469971. The next prime is 344231470003. The reversal of 344231470000 is 74132443.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (344231470003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1777960 + ... + 1962040.

Almost surely, 2344231470000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344231470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481335404616).

344231470000 is an abundant number, since it is smaller than the sum of its proper divisors (618439339232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344231470000 is a wasteful number, since it uses less digits than its factorization.

344231470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184137 (or 184116 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 344231470000 in words is "three hundred forty-four billion, two hundred thirty-one million, four hundred seventy thousand".